Question

Abbey gets paid a flat rate of $10.00 to mow her neighbor's lawn plus an additional $5 per hour to rake the leaves.

The money she earns is represented by the equation
m
=
5
h
+
10
, where
m
represents the amount of money she earns, in dollars, and
h
is the number of hours she rakes leaves for.

Which of the following equations can be used to find
h
, the number of hours she rakes leaves for?
A.
h
=
m
−
2

B.
h
=
m
−
10

C.
h
=
m
5

D.
h
=
m
−
10
5

Answer 1

To find the equation for \( h \) in terms of \( m \), we start with the original equation given:

\[
m = 5h + 10
\]

To isolate \( h \), we can follow these steps:

1. Subtract 10 from both sides:
\[
m - 10 = 5h
\]

2. Divide both sides by 5:
\[
h = \frac{m - 10}{5}
\]

Now, we can identify the correct equation from the options provided.

Reformulating \( h \) gives us:

\[
h = \frac{m - 10}{5}
\]

In comparison with the provided options:

- **Option A:** \( h = m - 2 \) (not correct)
- **Option B:** \( h = m - 10 \) (not correct)
- **Option C:** \( h = \frac{m}{5} \) (not correct)
- **Option D:** \( h = \frac{m - 10}{5} \) (correct)

The correct answer is **D. \( h = \frac{m - 10}{5} \)**.